The 18th Takagi Lectures
November 5, 2016 (Sat) 15:10--16:10
November 6, 2016 (Sun) 11:30--12:30
Graduate School of Mathematical Sciences
The University of Tokyo, Tokyo, Japan

On Geometry of Arc Spaces, the Hankel Transform and
Function Equation of L-Functions
Ngô Bảo Châu
(The University of Chicago)


Since the beginning of the century, several approaches to Langlands functoriality conjecture have been proposed by Langlands himself, by Braverman-Kazhdan and Lafforgue, .... In this lecture I will explain how these ideas may be combined and connected to recents works on singularities of certain arc spaces.